Percent means over 100 or out of 100. For example, 50 per cent written with the per cent symbol %, 50% is equal to 50 over 100 or $\frac{50}{100}$.
50% = $\frac{50}{100}$
Formula
So, any fraction with a denominator of 100 can be written down as a percentage as follows
As we have seen above, $\frac{50}{100}$ = 50%
Similarly, $\frac{8}{100}$ = 8%; $\frac{10}{100}$ = 10%; $\frac{24}{100}$ = 24% and so on
So, for any number x, $\frac{x}{100}$ = x%
Convert the following fraction to a per cent −
$\mathbf{\frac{52}{100}}$
Step 1:
By definition, for any number x, $\frac{x}{100}$ = x%.
Step 2:
So, $\frac{52}{100}$ = 52%
Convert the following fraction to a per cent
$\mathbf{\frac{29}{100}}$
Step 1:
By definition, for any number x, $\frac{x}{100}$ = x%.
Step 2:
So, $\frac{29}{100}$ = 29%
Convert the following fraction to a per cent
$\mathbf{\frac{8}{100}}$
Step 1:
By definition, for any number x, $\frac{x}{100}$ = x%.
Step 2:
So, $\frac{8}{100}$ = 8%